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Algebra / Systems of two linear equations in two variables Difficulty: Medium

y = 9 x + 12

x + 7 y = 20

The solution to the given system of equations is x,y. What is the value of y ?

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Explanation

The correct answer is 3 . It’s given that y = 9 x + 12 . Substituting 9 x + 12 for y in the second equation in the system, x + 7 y = 20 , yields x+79x+12=20, which gives x+63x+84=20, or 64 x + 84 = 20 . Subtracting 84 from each side of this equation yields 64 x = - 64 . Dividing each side of this equation by 64 yields x = - 1 . Substituting - 1 for x in the first equation in the system, y = 9 x + 12 , yields y=9-1+12, or y = 3 . Therefore, the value of y is 3 .